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Finding the Fourth Proportional to 613.94, 847.38 and 393.08

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Solution

The fourth proportional to 613.94, 847.38 and 393.08 is: 542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.94 : 847.38 = 393.08 : x
  2. Step 2: Convert to fraction form
    613.94/847.38 = 393.08/x
  3. Step 3: Cross multiply
    613.94x = 847.38 × 393.08
  4. Step 4: Simplify right side
    613.94x = 333,088.13
  5. Step 5: Solve for x
    x = 333,088.13/613.94
  6. Step 6: Final answer
    x = 542.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.